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Finding the Fourth Proportional to 437,495.63, 656,309.07 and 157,078.49

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Solution

The fourth proportional to 437,495.63, 656,309.07 and 157,078.49 is: 235,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,495.63 : 656,309.07 = 157,078.49 : x
  2. Step 2: Convert to fraction form
    437,495.63/656,309.07 = 157,078.49/x
  3. Step 3: Cross multiply
    437,495.63x = 656,309.07 × 157,078.49
  4. Step 4: Simplify right side
    437,495.63x = 103,092,034,407.36
  5. Step 5: Solve for x
    x = 103,092,034,407.36/437,495.63
  6. Step 6: Final answer
    x = 235,641.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.